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Finding the Fourth Proportional to 208,312.10, 311,678.40 and 138,328.10

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Solution

The fourth proportional to 208,312.10, 311,678.40 and 138,328.10 is: 206,967.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,312.10 : 311,678.40 = 138,328.10 : x
  2. Step 2: Convert to fraction form
    208,312.10/311,678.40 = 138,328.10/x
  3. Step 3: Cross multiply
    208,312.10x = 311,678.40 × 138,328.10
  4. Step 4: Simplify right side
    208,312.10x = 43,113,880,883.04
  5. Step 5: Solve for x
    x = 43,113,880,883.04/208,312.10
  6. Step 6: Final answer
    x = 206,967.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.